Lateral oscillations of a straight section of a two constant based heterogeneous pipeline

Authors

DOI:

https://doi.org/10.15587/1729-4061.2014.31195

Keywords:

heterogeneity, pipe, continuity, base, frequency, elasticity module, density

Abstract

The study focuses on the natural oscillation of a straight section of an invariably heterogeneous elastic pipeline lying on a twoconstant base devised by P. L. Pasternak. The elasticity module and the specific density are regarded as a continuous function of the pipeline length coordinate, whereas the continuous function is a function that characterizes heterogeneity of the elasticity module together with its first and second derivatives. Hereby, the equation on the motion-relative deflection is a linear equation with variable coefficients of the fourth order. The problem is solved in a combined way: the first stage involves a variables separation method, whereas the second stage is carried out by the Bubnov-Galerkin orthogonality method. Specific values are calculated in the first approximation; the findings are presented in tables and graphs that illustrate dependencies between the circular frequency and heterogeneity-specifying parameters. The calculation results show a significant impact of heterogeneity upon the value of circular frequency and depend on the law of heterogeneity distribution.

Author Biographies

Вагиф Джамал оглы Гаджиев, National Academy of Sciences of Azerbaijan Str. B. Vahabzadeh 9, Baku, Azerbaijan, AZ 1143

Professor, Doctor of Physical and Mathematical sciences

Head of the Department of ''Theory of Elasticity and Plasticity''

Institute of Mathematics and Mechanics

Хагани Гияс оглы Джафаров, Azerbaijan Architecture and Construction University Str. A. Sultanova, 5, Baku, Azerbaijan, AZ 1073

graduate student

References

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Published

2014-12-18

How to Cite

Гаджиев, В. Д. о., & Джафаров, Х. Г. о. (2014). Lateral oscillations of a straight section of a two constant based heterogeneous pipeline. Eastern-European Journal of Enterprise Technologies, 6(7(72), 4–7. https://doi.org/10.15587/1729-4061.2014.31195

Issue

Vol. 6 No. 7(72) (2014): Applied mechanics

Section

Applied mechanics

License

Copyright (c) 2014 Вагиф Джамал оглы Гаджиев, Хагани Гияс оглы Джафаров

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